Recoverability for optimized quantum f-divergences (Q5877835)

scientific article; zbMATH DE number 7654354

Language	Label	Description	Also known as
English	Recoverability for optimized quantum f-divergences	scientific article; zbMATH DE number 7654354

Statements

instance of

scholarly article

0 references

title

Recoverability for optimized quantum f-divergences (English)

0 references

DOI

10.1088/1751-8121/ac1dc2

0 references

0 references

0 references

Journal of Physics A: Mathematical and Theoretical

0 references

publication date

16 February 2023

0 references

full work available at URL

https://arxiv.org/abs/2008.01668

0 references

Mathematics Subject Classification ID

0 references

0 references

0 references

relative entropy

0 references

data processing inequality

0 references

quantum \(f\)-divergence

0 references

recoverability

0 references

quantum sufficiency

0 references

Rényi divergence

0 references

MaRDI profile type

MaRDI publication profile

0 references

OpenAlex ID

W3194207050

0 references

cites work

Conditional expectations in von Neumann algebras and a theorem of Takesaki

0 references

Positive cones and \(L^p\)-spaces for von Neumann algebras

0 references

Some properties of modular conjugation operator of von Neumann algebras and a non-commutative Radon-Nikodym theorem with a chain rule

0 references

Q5601960

0 references

A strengthened data processing inequality for the Belavkin–Staszewski relative entropy

0 references

Rényi divergences as weighted non-commutative vector-valued \(L_p\)-spaces

0 references

Strong converse exponents for a quantum channel discrimination problem and quantum-feedback-assisted communication

0 references

Classification of injective factors. Cases \(\mathrm{II}_1\), \(\mathrm{II}_\infty\), \(\mathrm{III}_\lambda\), \(\lambda\neq 1\)

0 references

Q5539510

0 references

Recovery and the Data Processing Inequality for Quasi-Entropies

0 references

Recovery map stability for the data processing inequality

0 references

Min- and Max-Relative Entropies and a New Entanglement Monotone

0 references

Strong converse for the feedback-assisted classical capacity of entanglement-breaking channels

0 references

Quantum conditional mutual information and approximate Markov chains

0 references

Multiplicativity of completely bounded \(p\)-norms implies a strong converse for entanglement-assisted capacity

0 references

The standard form of von Neumann algebras.

0 references

Operator valued weights in von Neumann algebras. I

0 references

Quantum f-divergences in von Neumann algebras. I. Standard f-divergences

0 references

Quantum f-divergences in von Neumann algebras. II. Maximal f-divergences

0 references

Quantum f-Divergences in von Neumann Algebras

0 references

Different quantum f-divergences and the reversibility of quantum operations

0 references

QUANTUM f-DIVERGENCES AND ERROR CORRECTION

0 references

On quasiequivalence of locally normal states

0 references

The proper formula for relative entropy and its asymptotics in quantum probability

0 references

JENSEN'S OPERATOR INEQUALITY

0 references

Preservation of a quantum Rényi relative entropy implies existence of a recovery map

0 references

Rényi relative entropies and noncommutative \(L_p\)-spaces

0 references

Universal recovery maps and approximate sufficiency of quantum relative entropy

0 references

On Information and Sufficiency

0 references

Fractional powers of operators

0 references

Constraining quantum fields using modular theory

0 references

Completely positive maps and entropy inequalities

0 references

Data processing for the sandwiched Rényi divergence: a condition for equality

0 references

On quantum Rényi entropies: A new generalization and some properties

0 references

Quantum hypothesis testing and the operational interpretation of the quantum Rényi relative entropies

0 references

Markov Processes and the H-Theorem

0 references

Strong converse and Stein's lemma in quantum hypothesis testing

0 references

Quasi-entropies for states of a von Neumann algebra

0 references

Quasi-entropies for finite quantum systems

0 references

Sufficient subalgebras and the relative entropy of states of a von Neumann algebra

0 references

SUFFICIENCY OF CHANNELS OVER VON NEUMANN ALGEBRAS

0 references

Tensor Products of C*-Algebras and Operator Spaces

0 references

Q3292859

0 references

Multivariate trace inequalities

0 references

Quantum Continuous Variables

0 references

Rényi relative entropies of quantum Gaussian states

0 references

Strengthened Monotonicity of Relative Entropy via Pinched Petz Recovery Map

0 references

Positive Functions on C ∗ -Algebras

0 references

Theory of operator algebras I.

0 references

Theory of operator algebras. II

0 references

Q3314383

0 references

Strong Converse Rates for Quantum Communication

0 references

The ''transition probability'' in the state space of a \(^*\)-algebra

0 references

Relative entropy and the Wigner-Yanase-Dyson-Lieb concavity in an interpolation theory

0 references

Conditional expectation in an operator algebra. IV. Entropy and information

0 references

The role of relative entropy in quantum information theory

0 references

On quantum quasi-relative entropy

0 references

Recoverability in quantum information theory

0 references

Quantum Information Theory

0 references

Optimized quantumf-divergences and data processing

0 references

Converse Bounds for Private Communication Over Quantum Channels

0 references

Strong converse for the classical capacity of entanglement-breaking and Hadamard channels via a sandwiched Rényi relative entropy

0 references

Equality conditions of data processing inequality for α-z Rényi relative entropies

0 references

Sitelinks

Mathematics(1 entry)

mardi Publication:5877835